On the Coupling of Well Posed Differential Models -- Detailed Version
Analysis of PDEs
2022-11-04 v1 Dynamical Systems
Abstract
Consider the coupling of evolution equations, each generating a global process. We prove that the resulting system generates a new global process. This statement can be applied to differential equations of various kinds. In particular, it also yields the well posedness of a predator-prey model, where the coupling is in the differential terms, and of an epidemiological model, which does not fit previous well posedness results.
Keywords
Cite
@article{arxiv.2211.01853,
title = {On the Coupling of Well Posed Differential Models -- Detailed Version},
author = {Rinaldo M. Colombo and Mauro Garavello and Matthew Tandy},
journal= {arXiv preprint arXiv:2211.01853},
year = {2022}
}
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46 pages